“will visa pose an issue post completion?”
In the US immigration is a political issue, which you might interpret as “unpredictable”. In general it is assumed that international students will return home after graduation.
In Canada (if your daughter goes to UBC) if you get a four year degree (usually a bachelor’s degree) that qualifies you for a 3 year work visa. If you find an appropriate job, then they can help you apply for a permanent resident visa around about the time that your 3 year work visa runs out. Immigration to Canada is largely based on merit, with employability being rather high on the list.